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Invariants, torsion indices and oriented cohomology of complete flags

Baptiste Calmès;  Viktor Petrov;  Kirill Zainoulline — 2013

Annales scientifiques de l'École Normale Supérieure

Let  G be a split semisimple linear algebraic group over a field and let  T be a split maximal torus of  G . Let  𝗁 be an oriented cohomology (algebraic cobordism, connective K -theory, Chow groups, Grothendieck’s K 0 , etc.) with formal group law F . We construct a ring from F and the characters of  T , that we call a formal group ring, and we define a characteristic ring morphism c from this formal group ring to  𝗁 ( G / B ) where G / B is the variety of Borel subgroups of  G . Our main result says that when the torsion index...

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